Study of HER2 Directed Dendritic Cell (DC1) Vaccine + Weekly Paclitaxel, Trastuzumab & Pertuzumab

Vaccine will be administered weekly for 6 weeks. Boosters will be given at months 6, 9 and 12.

8mg/kg IV Trastuzumab will be given week 1, followed by 6 mg/kg on subsequent cycles every 3 weeks

840 mg IV Pertuzumab will be given week 1, followed by 420 mg on subsequent cycles every 3 weeks.

80 mg/m\^2 IV paclitaxel will be given weekly weeks 7-18

After week 18, participants will undergo standard of care resection surgery.